indecidability

It centers around what is in essence, the Gödel paradox, the problematic fact that statements-about-statements are themselves statements, that there is no self-consistent exterior vantage point from which we can look objectively at our own subjective experiences of the world—that as soon as we attempt to think or speak about the way we think and speak we become hopelessly lost in paradox, in indecidability, and in confusing and shadowy incompleteness.

Infinite Summer #3: No Matter How Smart You Thought You Were, You Are Actually Way Less Smart Than That « Gerry Canavan 2009

That leaves a Kantian indecidability dilemma: if we stick to the observable, we lose.

Darwiniana 2008